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11322201323296 = 252359544347903
BaseRepresentation
bin1010010011000010011111…
…0010011011011100100000
31111002101120200021210011201
42210300213302123130200
52441000332014321141
640025203020050544
72246000463223033
oct244604762333440
944071520253151
1011322201323296
11367579a528a86
12132a39a393a54
136418a9a03346
142b1dd70a301a
151497b2eb3031
hexa4c27c9b720

11322201323296 has 96 divisors (see below), whose sum is σ = 23658812190720. Its totient is φ = 5322097676544.

The previous prime is 11322201323269. The next prime is 11322201323357. The reversal of 11322201323296 is 69232310222311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236332881 + ... + 236380783.

It is an arithmetic number, because the mean of its divisors is an integer number (246445960320).

Almost surely, 211322201323296 is an apocalyptic number.

11322201323296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322201323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829406095360).

11322201323296 is an abundant number, since it is smaller than the sum of its proper divisors (12336610867424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11322201323296 is a wasteful number, since it uses less digits than its factorization.

11322201323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53438 (or 53430 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 11322201323296 in words is "eleven trillion, three hundred twenty-two billion, two hundred one million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 1357 1888 2714 5428 5443 10856 10886 21712 21772 43424 43544 47903 87088 95806 125189 174176 191612 250378 321137 383224 500756 642274 766448 1001512 1101769 1284548 1532896 2003024 2203538 2569096 2826277 4006048 4407076 5138192 5652554 7386151 8814152 10276384 11305108 14772302 17628304 22610216 29544604 35256608 45220432 59089208 65004371 90440864 118178416 130008742 236356832 260017484 260736029 520034968 521472058 1040069936 1042944116 2080139872 2085888232 4171776464 5996928667 8343552928 11993857334 15383425711 23987714668 30766851422 47975429336 61533702844 95950858672 123067405688 191901717344 246134811376 353818791353 492269622752 707637582706 1415275165412 2830550330824 5661100661648 11322201323296